Pith Number

pith:X5OS7P56

pith:2020:X5OS7P56RWZBDDIMKPJOAXLLCV

not attested not anchored not stored refs pending

Vafa-Witten invariants from exceptional collections

Boris Pioline, Guillaume Beaujard, Jan Manschot

arxiv:2004.14466 v5 · 2020-04-29 · hep-th · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5OS7P56RWZBDDIMKPJOAXLLCV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

BPS Dendroscopy on Local $\mathbb{P}^1\times \mathbb{P}^1$

Black Hole Quantum Mechanics and Generalized Error Functions

Receipt and verification

First computed	2026-07-05T10:00:30.734643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5d2fbfbe8db2118d0c53d2e05d6b155417b369c7a245ca55bc2538383af822

Aliases

arxiv: 2004.14466 · arxiv_version: 2004.14466v5 · doi: 10.48550/arxiv.2004.14466 · pith_short_12: X5OS7P56RWZB · pith_short_16: X5OS7P56RWZBDDIM · pith_short_8: X5OS7P56

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X5OS7P56RWZBDDIMKPJOAXLLCV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bf5d2fbfbe8db2118d0c53d2e05d6b155417b369c7a245ca55bc2538383af822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c9fe43eb2dbe90fc84aa16599a767d60a30488e7532ac90887299f224f1d56f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-04-29T20:41:25Z",
    "title_canon_sha256": "e191f69567e352a9dd00c8a63d8083f3bece1a8435327d9b4399c8f3c4e7cc3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.14466",
    "kind": "arxiv",
    "version": 5
  }
}